Harald Garcke

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Harald Garcke (born June 5, 1963 in Bremerhaven ) is a German mathematician and professor at the University of Regensburg .

Prof. Dr. Harald Garcke in Oberwolfach 2015 (Copyright: MFO, under Creative Commons License)


Harald Garcke studied mathematics and computer science at the University of Bonn from 1982 and completed his doctorate under Hans Wilhelm Alt in 1993 ( traveling wave solutions as the realization of phase transitions in memory metals ). In 1993/94 he was a post-doctoral student with Charles M. Elliott at the University of Sussex and from 1994 assistant in Bonn, where he completed his habilitation in 2000 (with the habilitation thesis On mathematical models for phase separation in elastically stressed solids ). In 2001 he received offers for C4 professorships at the Universities of Regensburg and Duisburg . Since 2002 he has been a C4 professor at the University of Regensburg . From 2005 to 2007 he was also dean of the Faculty of Mathematics.


Harald Garcke deals with nonlinear partial differential equations , problems with free boundary, phase field equations, numerical analysis and geometric evolution equations. Together with Christof Eck and Peter Knabner , he wrote a textbook on mathematical modeling.

His most important work includes contributions to the Cahn-Hilliard equation , the thin film equation and, in collaboration with Britta Nestler , phase field equations. His work with JW Barrett and R. Nürnberg on the mathematics of snow crystals attracted media attention.

Further publications by Harald Garcke can also be found under Google Scholar or the German National Library .


Individual evidence

  1. ^ Homepage Garcke at the University of Regensburg .
  2. ^ Klaus Garcke: History of the Garcke Family (=  German Family Archives . Volume 161 ). Degener, Insingen 2018, ISBN 978-3-7686-5210-0 .
  3. Traveling wave solutions as the realization of phase transitions in memory metals (= Bonn mathematical writings. 256, ISSN  0524-045X ). University of Bonn, Bonn 1993.
  4. ^ On mathematical models for phase separation in elastically stressed solids. ( online ).
  5. Christof Eck, Harald Garcke, Peter Knabner: Mathematical modeling. Springer, Berlin et al. 2008.
  6. ^ Charles M. Elliott, Harald Garcke: On the Cahn-Hilliard Equation with Degenerate Mobility. In: SIAM Journal on Mathematical Analysis. Volume 27, No. 2, 1996, pp. 404-423, doi : 10.1137 / S0036141094267662 .
  7. Harald Garcke: On Cahn-Hilliard systems with elasticity. In: Proceedings of the Royal Society of Edinburgh. Section A: Mathematics. Volume 133, No. 2, 2003, pp. 307-331, doi : 10.1017 / S0308210500002419 .
  8. Helmut Abels, Harald Garcke, Günther Grün : Thermodynamically consistent, frame indifferent diffuse interface models for incompressible two-phase flows with different densities. In: Mathematical Models and Methods in Applied Sciences. Volume 22, No. 3, 2012, 1150013, doi : 10.1142 / S0218202511500138 .
  9. Roberta Dal Passo, Harald Garcke, Günther Grün: On a fourth-order degenerate parabolic equation: global entropy estimates, existence, and qualitative behavior of solutions. In: SIAM Journal on Mathematical Analysis. Volume 29, No. 2, 1998, pp. 321-342, doi : 10.1137 / S0036141096306170 .
  10. Harald Garcke, Britta Nestler, Barbara Stoth: A multiphase field concept: numerical simulations of moving phase boundaries and multiple junctions. In: SIAM Journal on Applied Mathematics. Vol. 60, No. 1, 1999, pp. 295-315, JSTOR 118481 .
  11. ^ John W. Barrett, Harald Garcke, Robert Nürnberg: Numerical computations of faceted pattern formation in snow crystal growth. In: Physical Review . E: Statistical, Nonlinear, and Soft Matter Physics. Volume 86, No. 1, 2012, 011604, doi : 10.1103 / PhysRevE.86.011604 .
  12. Archived copy ( memento of the original from January 29, 2016 in the Internet Archive ) Info: The archive link was inserted automatically and not yet checked. Please check the original and archive link according to the instructions and then remove this notice. @1@ 2Template: Webachiv / IABot / scholar.google.co.uk
  13. https://portal.dnb.de/opac.htm?method=simpleSearch&query=Harald+Garcke